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Robust dissipative control for time-delay stochastic jump systems

Journal of Systems Engineering and Electronics 2011年第2期22卷 314-321页

作者： Lijuan Xu Tianping Zhang Yang Yi College of Information Engineering Yangzhou University Yangzhou 225009 P. R. China

A robust dissipative control problem for a class of It-type stochastic systems is discussed with Markovian jumping parameters and time-varying delay. A memoryless state feedback dissipative controller is developed based on Lyapunov-Krasovskii functional approach such that the closed-loop system is robustly stochastically stable and weakly delay-dependent （RSSWDD） and strictly （Q, S, R）-dissipative. The sufficient condition on the existence of state feedback dissipative controller is presented by linear matrix inequality （LMI）. And the desired controller can be concluded as solving a set of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

关键词： Ito-type stochastic system time-varying delay Markovprocess dissipative control robustly stochastically stable andweakly delay-dependent (RSSWDD) linear matrix inequality.

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dissipative control of the State Delayed Systems

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Journal of Systems Science and Systems Engineering 2001年第2期13卷 203-209页

作者： FU Yu-sun, TIAN Zuo-hua, SHI Song-jiaoDepartment of Automation, Shanghai Jiaotong University, Shanghai 200030, China Department of Automation Shanghai Jiaotong UniversityShanghai 200030 China

In this note, the dissipative control problem of the general quadratic supply rate for state delayed systems is considered. A systematic approach is used in this work so that a sufficient condition on the existence of a delay-independent state feedback controller is given. In addition, a sufficient condition on the existence of a delay-dependent state feedback is presented. Our solutions are expressed in terms of matrix inequalities that can be solved by numerical method. The delay-dependent controller might be less conservative than the delay-independent one in the sense that the delay-dependent case may have a solution for a larger class of systems than that for delay-independent case.

关键词： dissipative control state delayed system matrix inequality

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Asynchronous dissipative control for a Class of Discrete-time Singular Markov Jump Systems

Asynchronous Dissipative Control for a Class of Discrete-tim...

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第36届中国控制会议

作者： Xiao Lu Jiaqiang Yan Haixia Wang College of Electrical Engineering and Automation Shandong University of Science and Technology

ISBN: (纸本)9781538629185

This paper is concerned with the asynchronous dissipative control for discrete-time singular Markov jump systems with multiplicative noises. In a real set, noises always exist in the state or output measurement, which may cause some errors and decrease system performance. Without loss of generality, both state and output multiplicative noises are considered in this *** singular systems, which could widely describe more general systems and present traits of physical features, are discussed in this paper. Using a Markov chain to model the asynchronous jumps existing in system modes and controller modes. Through a method of LMI, the sufficient conditions are derived and the asynchronous controller is designed to ensure that the singular Markov jump systems are stochastically admissible and strictly dissipative.

关键词： dissipative control singular Markov jump systems asynchronous control linear matrix inequality

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dissipative control for Linear Systems via PID controller

Dissipative Control for Linear Systems via PID Controller

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第三十届中国控制会议

作者： WANG Shuping~1,ZHANG Guoshan~1,ZUO Zhiqiang~1 LIU Wanquan~2 1.School of Electrical Engineering and Automation,Tianjin University,Tianjin,300072,P.R.China 2.Department of Computing,Curtin University,WA,6102,Australia

＜正＞In this paper a new type of proportional-integral-derivative（PID） controllers is designed to make the closed-loop linear system asymptotically stable and strictly quadratic ***,we give a state-space realization for such PID controller and then derive the state-space realization of closed-loop ***,a necessary and sufficient condition ensuring the closed-loop system to be asymptotically stable and quadratic dissipative is derived in terms of linear matrix inequality（LMI）. Based on this result,the explicit expression for the PID controller gains is ***,an illustrative example is given to demonstrate the effectiveness of the proposed design approach.

关键词： PID controller dissipative control Linear systems Strictly quadratic dissipative

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dissipative control for Stochastic Descriptor Systems with Time-Delays

Dissipative Control for Stochastic Descriptor Systems with T...

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2009中国控制与决策会议

作者： Renquan Lu,Fuzhou Han,Anke Xue Institute of Information and control,Hangzhou Dianzi University,Hangzhou 310018,China

＜正＞This paper deals with the problem of dissipative control for stochastic descriptor systems with time-delays based on the extended Itöstochastic differential *** consider the design of a state-feedback dissipative controller such that the closed-loop systems is mean-square asymptotically stable and strictly（Q,S,R）-dissipative.A sufficient condition on the existence of dissipative controllers is established by means of the singular stochastic Lyapunov methods and linear matrix ***,a numerical example is provided to demonstrate the effectiveness of the proposed approach.

关键词： stochastic descriptor systems dissipative control the extended Itö formula linear matrix inequality(LMI)

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dissipative control for Stochastic Singular Systems with State Delay

Dissipative Control for Stochastic Singular Systems with Sta...

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第三十届中国控制会议

作者： LI Qin,MENG Qinglin,WANG Xianjie School of Mathematics & Information Science,Yantai University,Yantai 264005,P.R.China

In this paper,the dissipative control problem for a class of stochastic singular system with state delay is considered. Based on the singular stochastic Lyapunov method,a sufficient condition is firstly derived for the system to be mean-square asymptotically stable and strictly dissipative using linear matrix *** the state feedback controller is designed such that the closed-loop system to be mean-square asymptotically stable and strictly ***,a numerical example is provided to demonstrate the effectiveness of the proposed method.

关键词： Stochastic singular system dissipative control State delay Linear matrix inequality(LMI)

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dissipative control for Discrete Singular Impulsive Dynamical Systems

Dissipative Control for Discrete Singular Impulsive Dynamica...

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第三十届中国控制会议

作者： YANG Li~(1,2),LIU Xinzhi~2,ZHANG Zhigang~(2,3) 1.College of Mathematics,Liaoning University,Shenyang 110036,P.R.China 2.Department of Applied Mathematics,University of Waterloo,Waterloo,N2L 3G1,Canada 3.Department of Statistics and Applied Mathematics,Hubei University of Economics,Wuhan 430205,P.R.China

＜正＞The aim of this work is to study the dissipative control problem for discrete singular impulsive dynamical systems. We start by introducing the impulse to the discrete singular systems,and give the definition of the dissipation for discrete singular impulsive dynamical *** we discuss the dissipation of discrete singular impulsive dynamical systems,we obtain some sufficient and necessary conditions for dissipation of these systems by solving some linear matrix inequalities（LMIs）.By using this method,we design a state feedback controller to make the closed-loop system *** last,we testify the feasibility of the method by a numerical example.

关键词： dissipative control Discrete singular dynamical impulsive systems Supply rate

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dissipative Fuzzy controller for Networked Nonlinear System with Missing Data

Dissipative Fuzzy Controller for Networked Nonlinear System ...

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2009中国控制与决策会议

作者： Qiongbin Lin~1,Fuwen Yang~2,Wu Wang~1 1.Department of Electrical Engineering and Automation,Fuzhou University,Fuzhou 350002,PR China. 2.School of Information Science and Engineering,East China University of Science and Technology,Shanghai 200237,PR China

This paper is concerned with dissipative control for networked nonlinear system with missing *** T-S discrete fuzzy model is adopted for modeling the nonlinear *** measurement from the sensor to the controller and missing data from the controller to the actuator are simultaneously *** missing measurement and missing control are described as the random missing data by a binary switching sequence satisfying a Bernoulli *** conditions for existence of a dynamic output feedback fuzzy controller,such that the closed-loop system is exponentially mean-square stable and strictly dissipative,are derived in terms of linear matrix inequalities (LMIs).The effectiveness of the proposed method is illustrated by means of a numerical example.

关键词： dissipative control random missing data nonlinear system networked Fuzzy controller LMIs.

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